Expand:
(2x+3y)(x2+3xy2-5x2y)
2x3-9x2y2-10x3y+3yx2+9xy3
solve:
3(4x-3)=21
x=5/2
factor:
5x7y-20x2y3+15x3zy
5x2y(x5-4y2+3xz)
Factor:
a2b-ab2
ab(a-b)
Highest common factor of 20 and 30:
HCF: the largest number that is the factor of both
20: 1,2,4,5,10,20
30: 1,2,3,5,6,10,15,30
HCF: 10
"the highest power of common factors" in prime factorization method: prime tree
Least common multiple of 60 & 72:
60: 2 * 2 * * 3 * * 5
72: 2 * 2 * 2 * 3 * 3 * 5
LCM: is the smallest number that is a multiple of both (we choose highest power of common factors)
2*2*2*3*3*5=360
Evaluate the following:
2-3*5+4=
(2-3)5+4=
-9
-1
1/(1+(2/(3-1/5)))
7/12
3 2/4 / 5 1/7
49/72
Write into fraction:
30%
3/10
write into fraction: 16 1/2%
33/200
Make x the subject:
3y=(2x-5)1/2
x=3y+5/2
make x the subject:
5x-6y=4
x=(6/5)y+4
Find the slope and equation of the line passing through A(−7,4) and B(5,−2).
-1/2
Find the gradient and y-intercept of the following lines:
y=3x-2
m=3
y0=-2
Find the gradient and y-intercept of the following lines:
3y+5x=1
y=-5/3(x)+1/3
m=-5/3
y0=1/3
Write a lines parallel to y=3x-1
y=3x+10
write a line perpendicular to y=2x-1
y=-1/2(x)+15
Write a line equation with slope of -½ and passing through (1,3)
y=-1/2(x)+7/2
Convert 48km/h to m/s.
480/36=13.3 m/s
Explain and find the speed in time (5,8)
and (8,12)
1. 300/3=10
2. 0
In the following similar triangles, lines AE and DC are parallel.
Write the equal angles.
B1=B2
BEA=BCD
BDC=BAE
A=25 cm^2